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11693452320 = 2532511738223
BaseRepresentation
bin10101110001111101…
…11110110000100000
31010011221021220222200
422320332332300200
5142422010433240
65212155133200
7562526463504
oct127076766040
933157256880
1011693452320
114a60715890
122324144200
1311447b3674
147cd022304
154868bb930
hex2b8fbec20

11693452320 has 144 divisors (see below), whose sum is σ = 43531592832. Its totient is φ = 2834772480.

The previous prime is 11693452189. The next prime is 11693452343. The reversal of 11693452320 is 2325439611.

11693452320 is a `hidden beast` number, since 116 + 93 + 452 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×116934523202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353272 + ... + 384951.

It is an arithmetic number, because the mean of its divisors is an integer number (302302728).

Almost surely, 211693452320 is an apocalyptic number.

11693452320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11693452320 is an abundant number, since it is smaller than the sum of its proper divisors (31838140512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11693452320 is a wasteful number, since it uses less digits than its factorization.

11693452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738255 (or 738244 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11693452320 in words is "eleven billion, six hundred ninety-three million, four hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 738223 1476446 2214669 2952892 3691115 4429338 5905784 6644007 7382230 8120453 8858676 11073345 11811568 13288014 14764460 16240906 17717352 22146690 23623136 24361359 26576028 29528920 32481812 33220035 35434704 40602265 44293380 48722718 53152056 59057840 64963624 66440070 70869408 73084077 81204530 88586760 97445436 106304112 118115680 121806795 129927248 132880140 146168154 162409060 177173520 194890872 212608224 243613590 259854496 265760280 292336308 324818120 354347040 365420385 389781744 487227180 531520560 584672616 649636240 730840770 779563488 974454360 1063041120 1169345232 1299272480 1461681540 1948908720 2338690464 2923363080 3897817440 5846726160 11693452320